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Question 4 of 18 in Graphs 8

Graphs 8

3 marks · Easy

The graph of is transformed to .

(a)

Describe the transformation.

[1 mark]
(b)

Write down the equation of the transformed graph if .

[1 mark]
(c)

Give the new coordinates of the point (2, 8) on the transformed graph.

[1 mark]

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(a) Reflection in the x-axis

(b) y = -x^3

(c) (2, -8)

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Marking points

B1a (a) · 1 mark · B1: Correctly identifies the transformation as reflection in the x-axis.

B1b (b) · 1 mark · B1: Writes the correct equation: y = -x^3.

B1c (c) · 1 mark · B1: Gives new point as (2, -8).

Worked solution

a) Multiplying by -1 reflects the graph in the x-axis. b) The new equation is y = -x^3. c) Original point (2, 8) becomes (2, -8) on the new graph.

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